Synthetic Division with a Fractional Coefficient?

Question

I already did this problem but I don't know if it's right.

Solve using Synthetic Division

2x^3+5x-2 divided by x+1/2

Answer 1

........| 2...+0...+5.......-2
-1/2...| 2...-1...11/2...-19/4

The thought process follows:
Bring down the 2
(-1/2)(2) = -1
-1 + 0 = -1
(-1/2)(-1) = 1/2
1/2 + 10/2 = 11/2
(-1/2)(11/2) = -11/4
-11/4 - 8/4 = -19/4
Quotient: 2x^2 - x + 11/2 Remainder: -19/4

Answer 2

discover the backside worry-loose distinctive of all the denominators of the coefficients. distinctive each little thing by making use of that (do no longer ignore stuff with denominator a million, and the consequence would be all integers. Then remedy. LCM(3, 2, 4, 6, a million) = 12 12(2/3)x^4 + 12(a million/2)x^3 - 12(5/4)x^2 - 12x - 12(a million/6) 8x^4 + 6x³ - 15x² - 12x - 2 I ignore a thank you to do it from right here.